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Finding the Third Proportional to 532,735 and 1,170,445

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Solution

The third proportional to 532,735 and 1,170,445 is: 2,571,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,735 : 1,170,445 = 1,170,445 : x
  2. Step 2: Convert to fraction form
    532,735/1,170,445 = 1,170,445/x
  3. Step 3: Cross multiply
    532,735x = 1,170,445 × 1,170,445
  4. Step 4: Simplify right side
    532,735x = 1,369,941,498,025
  5. Step 5: Solve for x
    x = 1,369,941,498,025/532,735
  6. Step 6: Final answer
    x = 2,571,525.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.